| Strong convergence results for hemivariational inequalities |
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| 引用本文： | LIU Zhenhai & ZOU Jiezhong Department of Mathematics,Changsha University of Science and Technology,Changsha 410076,China School of Mathematical Science and Computing Technology,Central South University,Changsha 410075,China,. Strong convergence results for hemivariational inequalities[J]. 中国科学A辑(英文版), 2006, 49(7): 893-901. DOI: 10.1007/s11425-006-2002-8 |
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| 作者姓名： | LIU Zhenhai & ZOU Jiezhong Department of Mathematics Changsha University of Science and Technology Changsha 410076 China School of Mathematical Science and Computing Technology Central South University Changsha 410075 China |
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| 作者单位： | LIU Zhenhai & ZOU Jiezhong Department of Mathematics，Changsha University of Science and Technology，Changsha 410076，China School of Mathematical Science and Computing Technology，Central South University，Changsha 410075，China; |
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| 基金项目： | 国家高技术研究发展计划(863计划);浙江省湖州市自然科学基金 |
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| 摘 要： | The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems.
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| 收稿时间： | 2005-06-30 |
| 修稿时间： | 2005-12-24 |
Strong convergence results for hemivariational inequalities |
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| LIU Zhenhai,ZOU Jiezhong. Strong convergence results for hemivariational inequalities[J]. Science in China(Mathematics), 2006, 49(7): 893-901. DOI: 10.1007/s11425-006-2002-8 |
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| Authors: | LIU Zhenhai ZOU Jiezhong |
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| Affiliation: | 1. Department of Mathematics, Changsha University of Science and Technology, Changsha 410076, China;School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China
2. School of Mathematical Science and Computing Technology, Central South University, Changsha 410075, China |
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| Abstract: | The purpose of this paper is to study a regularization method of solutions of ill-posed problems involving hemivariational inequalities in Banach spaces. Under the assumption that the hemivariational inequality is solvable, a strongly convergent approximation procedure is designed by means of the so-called Browder-Tikhonov regularization method. Our results generalize and extend the previously known theorems. |
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| Keywords: | hemivariational inequalities Clarke subdifferential regularization strong convergence |
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